The statistical significance of the linear relationship between X and Y may be tested by examining the hypotheses: H₀: β₁ ≠0;H₁: β₁=0.

Question

Quizplus · Accepted Answer

The correct null hypothesis for testing the statistical significance of the linear relationship between X and Y (where β1 represents the slope coefficient in a simple linear regression) is H0: β1 = 0, not H0: β1 ≠ 0. The alternative hypothesis is typically H1: β1 ≠ 0, indicating there is a significant linear relationship.

The Statistical Significance of the Linear Relationship Between X and Y